Division algebras that ramify only on a plane quartic curve - See more at: http://www.ams.org/journals/proc/2006-134-04/S0002-9939-05-08106-2/#sthash.PBXiOxYK.dpuf

B. Kunyavskii; Louis H. Rowen; Sergey V. Tikhonov; Vyacheslav I. Yanchevskii

Division algebras that ramify only on a plane quartic curve - See more at: http://www.ams.org/journals/proc/2006-134-04/S0002-9939-05-08106-2/#sthash.PBXiOxYK.dpuf

B. Kunyavskii
, Louis H. Rowen
, Sergey V. Tikhonov
, Vyacheslav I. Yanchevskii

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let $k$ be an algebraically closed field of characteristic 0. We prove that any division algebra over $k(x,y)$ whose ramification locus lies on a quartic curve is cyclic. - See more at: http://www.ams.org/journals/proc/2006-134-04/S0002-9939-05-08106-2/#sthash.PBXiOxYK.dpuf

Original language	American English
Pages (from-to)	921-929
Journal	Proceedings of the American Mathematical Society
Volume	134
State	Published - 2006

Cite this

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title = "Division algebras that ramify only on a plane quartic curve - See more at: http://www.ams.org/journals/proc/2006-134-04/S0002-9939-05-08106-2/\#sthash.PBXiOxYK.dpuf",

abstract = "Let \$k\$ be an algebraically closed field of characteristic 0. We prove that any division algebra over \$k(x,y)\$ whose ramification locus lies on a quartic curve is cyclic. - See more at: http://www.ams.org/journals/proc/2006-134-04/S0002-9939-05-08106-2/\#sthash.PBXiOxYK.dpuf",

author = "B. Kunyavskii and Rowen, \{Louis H.\} and Tikhonov, \{Sergey V.\} and Yanchevskii, \{Vyacheslav I.\}",

year = "2006",

language = "American English",

volume = "134",

pages = "921--929",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

}

Division algebras that ramify only on a plane quartic curve - See more at: http://www.ams.org/journals/proc/2006-134-04/S0002-9939-05-08106-2/#sthash.PBXiOxYK.dpuf. / Kunyavskii, B.; Rowen, Louis H.; Tikhonov, Sergey V. et al.
In: Proceedings of the American Mathematical Society, Vol. 134, 2006, p. 921-929.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

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AU - Kunyavskii, B.

AU - Rowen, Louis H.

AU - Tikhonov, Sergey V.

AU - Yanchevskii, Vyacheslav I.

PY - 2006

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AB - Let $k$ be an algebraically closed field of characteristic 0. We prove that any division algebra over $k(x,y)$ whose ramification locus lies on a quartic curve is cyclic. - See more at: http://www.ams.org/journals/proc/2006-134-04/S0002-9939-05-08106-2/#sthash.PBXiOxYK.dpuf

UR - http://www.ams.org/journals/proc/2006-134-04/S0002-9939-05-08106-2/

M3 - Article

SN - 0002-9939

VL - 134

SP - 921

EP - 929

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Division algebras that ramify only on a plane quartic curve - See more at: http://www.ams.org/journals/proc/2006-134-04/S0002-9939-05-08106-2/#sthash.PBXiOxYK.dpuf

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